Least Common Multiple (LCM) of 194 and 28
The least common multiple (LCM) of 194 and 28 is 2716.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 194 and 28?
First, calculate the GCD of 194 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 28 = 6 remainder 26 |
| 2 | 28 ÷ 26 = 1 remainder 2 |
| 3 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 44 | 396 |
| 140 and 111 | 15540 |
| 140 and 163 | 22820 |
| 160 and 80 | 160 |
| 44 and 46 | 1012 |